- The total number of local maximum and minimum points of the function whose derivative, for
all x, is given by f ′(x) = x(x − 3)^2 (x + 1)^4 is
(A) 0
(B) 1
(C) 2
(D) 3
(E) none of these - For which curve shown below are both f ′ and f ′′ negative?
- For which curve shown in question 16 is f ′′ positive but f ′ negative?
In Questions 18–21, the position of a particle moving along a straight line is given by s = t^3 − 6t^2 +
12 t − 8.
- The distance s is increasing for
(A) t < 2
(B) all t except t = 2
(C) 1 < t < 3
(D) t < 1 or t > 3
(E) t > 2 - The minimum value of the speed is